Suppose you have a coffee mug with a circular cross section and vertical sides (uniform radius). What is its inside radius if it holds 375 g of coffee when filled to a depth of 7.50 cm? Assume coffee has the same density as water.

A container has a large cylindrical lower part with a long thin cylindrical neck open at the top. The lower part of the container holds 22.2 m3 of water and the surface area of the bottom of the container is 8.90 m2. The height of the lower part of the container is 2.50 m, and the neck contains a column of water 8.50 m high. The total volume of the column of water in the neck is 0.200 m3. What is the magnitude of the force exerted by the water on the bottom of the container? ______ MN

The owner of a company that manufactures drinking cups decides it would be impressive to build an inground swimming pool that is a scaled up version of her best selling cup. For this particular cup, the area of the circular opening at the top is 1.24 times the area of the circular bottom. Her pool contractor informs her that when the pool is full of water, the magnitude of the force acting on the top surface will be the same as the magnitude of the force acting on the bottom surface. Determine the depth of the pool. m

A lost shipping container is found resting on the ocean floor and completely submerged. The container is 6.4 m long, 2.4 m wide, and 2.9 m high. Salvage experts attach a spherical balloon to the top of the container and inflate it with air pumped down from the surface.. When the balloon's radius is 1.3 m, the shipping container just begins to rise towards the surface. What is the mass of the container? Ignore the mass of the balloon and the air within it. Do not neglect the buoyant force exerted on the shipping container by the water. The density of seawater is 1025 kg/m³. Number Units